• Homozygosity in a selfed population with an arbitrary number of linked loci

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    • Abstract

       

      1. A generalised ‘coefficient of relationship’ between two individualsX andY has been defined with any number of linked loci.

      2. Recurrence relations for ϕ-, π- and ξ-functions (Schnell, 1961) in the case of two and three loci have been obtained.

      3. Solutions for recurrence relations have been given for ϕ-function upto the case of any number of linked loci.

      4. It has been found that the effect of linkage on the homozygosity of a selfed population is more with a greater number of linked loci and is maximum after one generation of selling. With three linked loci, the pairs of values ofp12, p23when taken as (.1, .1) exert a greater effect than (.3, 0) or (.5, 0) but this is true only upto two generations of selfing.

      5. With more than one locus, the rate of inbreeding is not constant with further generations of selfing. It depends on the number of generations of selling and the recombination values.

    • Author Affiliations

       

      Prem Narain1

      1. Institute of Agricultural Research Statistics, Mew Delhi
    • Dates

       
  • Journal of Genetics | News

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